TALK=f;RUN(1,1) DISPLAY A rectangular block of dimensions LX * LY * LZ is * held fixed at it north, west and low faces * subjected to uniform compression at its south face * allowed to contract freely along its east and high faces The distributions of displacement in the xy plane are computed, and also the corresponding stresses and strains in all three directions. A uniform cartesian grid is used. The computed results are compared with the analytically-derived values. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ TEXT(3D block in y-direction compression; s307 libref=307 TITLE Declarations and settings REAL(FY,LX,LY,LZ,POISSON,YOUNG) FY= 40.0e6 ! H/m^2 = 40 N/mm^2 LX=90.e-3 LZ=90.e-3 LY=120.e-3 YOUNG = 1/0.5E-11 ! Young's modulus used for exact solutions POISSON=0.3 ! Poisson's ratio used for exact solutions ! The above must correspond to the data ! below MATFLG, which the simulation uses. INTEGER(NXBODY,NYBODY,NZBODY) ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NXBODY = 10 GRDPWR(X,NXBODY,LX,1) ************************************************************ Group 4. Y-Direction Grid Spacing NYBODY = 10 GRDPWR(Y,NYBODY,LY,1) ************************************************************ Group 5. Z-Direction Grid Spacing NZBODY = 10 GRDPWR(Z,NZBODY,LZ,1) ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = T SOLVE(P1,V1,U1,W1) SOLUTN(P1 ,Y,Y,Y,N,N,N) SOLUTN(U1 ,Y,Y,Y,N,N,Y) SOLUTN(V1 ,Y,Y,Y,N,N,Y) SOLUTN(W1 ,Y,Y,Y,N,N,Y) STORE(PRPS,DRH1,VISL) STORE(STRX,STRY,STRZ,STXY,STXZ,STYZ) STORE(EPSY,EPSX,EPSZ) STORE(U1T,V1T,W1T,U1/T,V1/T,W1/T) ************************************************************ GROUP 8. ITERATION NUMBERS ETC RESFAC=1.e-7 RESREF(V1)=0.0 RESREF(U1)=0.0 ! to prevent premature exit LITER(V1) = 50 ! from solver LITER(U1) = 50 LITER(P1) = 50 RESREF(W1)=0.0 LITER(W1) = 50 ************************************************************ GROUP 9. PROPERTIES CSG10='Q1' ! material properties MATFLG=T;NMAT=1 160 7800.0 0.3 473.0 43.0 1.0e-5 0.5e-11 ************************************************************ GROUP 11. INITIAL VALUES fiinit(p1)=0.0 fiinit(u1)=0.0 fiinit(v1)=0.0 fiinit(w1)=0.0 FIINIT(PRPS)=160 ************************************************************ GROUP 13. BOUNDARY & SPECIAL SOURCES PATCH(UP,NWALL,1,NX,NY,NY,1,NZ,1,1) ! north face fixed COVAL(UP,V1,1,0.0) PATCH(FORs01,NORTH,1,NX,1,1,1,NZ,1,1) ! south face compressed COVAL(FORs01,V1,FIXFLU,FY) PATCH(AXESXX,WWALL,1,1,1,NY,1,NZ,1,1) ! west face fixed COVAL(AXESXX,U1,1,0.0) PATCH(AXESZZ,LWALL,1,NX,1,NY,1,1,1,1) ! low face fixed COVAL(AXESZZ,W1,1,0.0) ************************************************************ GROUP 15. TERMINATE SWEEPS LSWEEP = 100 ISG21=LSWEEP ************************************************************ GROUP 17. RELAXATION RELAX(P1 ,LINRLX, 1.000000E+00) spedat(rlxfac,rlxu1d,r,0.5) spedat(rlxfac,rlxv1d,r,0.5) spedat(rlxfac,rlxw1d,r,0.5) ************************************************************ GROUP 19. DATA TRANSMITTED TO GROUND STRA = T PARSOL = F ISG52 = 3 ! probe & res ************************************************************ GROUP 23.FIELD PRINT-OUT & PLOT CONTROL TSTSWP = - 1 ! graphic-mode IXMON = NX-2 IYMON = 2 IZMON = NZ-2 #maxmin #endpause #$s003 inform7begin real(CEPSX,CEPSY,CEPSZ,CEPS,DDZZ) DDZZ = LZ/NZBODY CEPSX = FY/YOUNG*POISSON CEPSY = -FY/YOUNG CEPSZ = CEPSX CEPS = CEPSX+CEPSY+CEPSZ CEPSX CEPSY CEPSZ CEPS **** CALCULATE analytical solution *** (STORED VAR W1T IS :CEPSZ:*ZW) (STORED VAR U1T IS :CEPSX:*XU) (STORED VAR V1T IS :CEPSY:*(YV -:LY:)) (STORED VAR U1/T IS U1/(U1T+1.e-20)) (STORED VAR V1/T IS V1/(V1T+1.e-20)) (STORED VAR W1/T IS W1/(W1T+1.e-20)) inform7end STOP photon use p;;;; set prop off con v1 x 9 y 1 9 z 1 9 fi;0.001 con v1 y 9 x 1 9 z 1 9 fi;0.001 con v1 z 9 y 1 9 x 1 9 fi;0.001 pause con u1 x 9 y 1 9 z 1 9 fi;0.001 con u1 y 9 x 1 9 z 1 9 fi;0.001 con u1 z 9 y 1 9 x 1 9 fi;0.001 enduse